File:Animation Hertzscher Dipol.ogv
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Original file (Ogg Theora video file, length 40 s, 1,600 × 900 pixels, 956 kbps, file size: 4.56 MB)
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Summary
[edit]| Description |
Deutsch: Animation zum Hertzschem Dipol mit E- und H-Feld. |
| Date | |
| Source | Own work |
| Author | Menner |
| Other versions |
|
Source code (GNU Octave)
[edit]#!/usr/bin/octave -qf
%
% 2014
%
%
% calcE
%
% t time
% r radius (might be an array)
% E_theta E field
%
function E_theta = calcE(r, t)
% r
global parameters;
omega = parameters.omega;
epsilon = parameters.epsilon;
lambda = parameters.lambda;
c = parameters.c;
roh = 2 * pi() * r / lambda;
E_theta_1 = ( (1 ./ roh) - (1 ./ roh.^3) ) .* cos(roh .- omega*t);
E_theta_2 = (1 ./roh.^2) .* sin(roh .- omega*t) * -1.;
E_koeff = omega^3 / (4 * pi() * epsilon * c^3);
E_theta = -1 * E_koeff * (E_theta_1+E_theta_2);
endfunction
%
% calcH
%
% t time
% r radius (might be an array)
% H_theta H field
%
function H_phi = calcH(r, t)
% r
global parameters;
omega = parameters.omega;
epsilon = parameters.epsilon;
lambda = parameters.lambda;
c = parameters.c;
roh = 2 * pi() * r / lambda;
H_phi_1 = (1 ./ roh) .* cos(roh .- omega*t);
H_phi_2 = (1 ./roh.^2) .* sin(roh .- omega*t) * -1.;
H_koeff = omega^3 / (4 * pi() * epsilon * c^2);
H_phi = -1 * H_koeff * (H_phi_1 + H_phi_2);
endfunction
%
%
% M A I N
%
%
begin_cputime = time();
global parameters;
parameters.framerate = 20;
parameters.duration = 40;
parameters.cycles = 4;
%parameters.framerate = 20;
%parameters.duration = 1;
%parameters.cycles = 1;
parameters.ylim = 1;
parameters.filename = "animation_hertzscher_dipol";
%parameters.Dimensions = "-S800,450";
parameters.Dimensions = "-S1600,900";
parameters.steps = 50;
parameters.linewidth = 2;
%parameters.plot_E = "r;E-Feld;";
%parameters.plot_H = "b;H-Feld;";
parameters.plot_E = "r;E field;";
parameters.plot_H = "b;H field;";
parameters.plot_decay = "k;1/r;";
%parameters.plot_Radius = "Radius normiert zur Wellenlaenge";
%parameters.plot_Amp = "Amplitude normiert bei Radius einer Wellenlaenge";
parameters.plot_Radius = "Radius normalized to wave length";
parameters.plot_Amp = "Amplitude normalized at radius of one wave length";
parameters.f = 0.1; % Hz
parameters.omega = 2 * pi() * parameters.f;
parameters.epsilon = 8.85418781762e-12; %
parameters.c = 3e8; % m/s
parameters.lambda = parameters.c / parameters.f;
parameters.width = parameters.lambda * 3.; % 3 * wave length
parameters
r = 0:parameters.lambda/parameters.steps:parameters.width;
r_Norm = r ./ parameters.lambda;
t_max = parameters.cycles/parameters.f
%t_schritt = parameters.f/parameters.framerate;
t_schritt = t_max/(parameters.duration*parameters.framerate);
Counter = 1;
Frames = t_max / t_schritt
E_Norm = parameters.omega^3 / (4 * pi() * parameters.epsilon * parameters.c^3);
E_Norm = E_Norm / (2 * pi());
H_Norm = parameters.omega^3 / (4 * pi() * parameters.epsilon * parameters.c^2);
H_Norm = H_Norm / (2*pi());
for t = 0:t_schritt:t_max
close();
E = calcE(r, t);
E = E / E_Norm;
H = calcH(r, t);
H = H / H_Norm;
decay = 1 ./ r_Norm;
plot(r_Norm(1,3:end), E(1,3:end), parameters.plot_E, "linewidth", parameters.linewidth);
hold("on");
plot(r_Norm(1,3:end), H(1,3:end), parameters.plot_H, "linewidth", parameters.linewidth);
plot(r_Norm(1,3:end), decay(1,3:end), parameters.plot_decay, "linewidth", parameters.linewidth);
plot(r_Norm(1,3:end), -1*decay(1,3:end), "color", "k", "linewidth", parameters.linewidth);
ylim([-15, 15]);
xlabel(parameters.plot_Radius);
ylabel(parameters.plot_Amp);
set (gca(), "linewidth", parameters.linewidth);
filename = ["./png/", parameters.filename, "-", num2str(Counter, "%04i"), ".png"]
print(filename, "-dpng", parameters.Dimensions)
Counter += 1;
endfor
printf("Total cpu time: %f seconds\n", time()-begin_cputime);
printf("Finished\n");
Convenience script
[edit]#!/bin/sh
start=`date`;
framerate=20
#% framerate=2
name="animation_hertzscher_dipol"
rm ./png -rf
mkdir ./png
octave ./dipol_feld_diagramm.m
rm ./yuv -rf
mkdir ./yuv
png2yuv -j ./png/$name-%04d.png -f $framerate -I p -b 1 > ./yuv/out.yuv
rm ./$name.ogv
./ffmpeg2theora-0.29.linux32.bin ./yuv/out.yuv -F $framerate -v 9 -o ./$name.ogv;
end=`date`;
echo Start: $start;
echo End: $end;
Licensing
[edit]I, the copyright holder of this work, hereby publish it under the following license:
 
|
This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
| The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
|
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 16:27, 12 September 2014 | 40 s, 1,600 × 900 (4.56 MB) | Menner (talk | contribs) | minor modifications | |
| 14:06, 12 September 2014 | 40 s, 1,600 × 900 (4.86 MB) | Menner (talk | contribs) | User created page with UploadWizard |
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